85577955 has 16 divisors (see below), whose sum is σ = 140110080. Its totient is φ = 44579808.

The previous prime is 85577953. The next prime is 85577969. The reversal of 85577955 is 55977558.

It is not a de Polignac number, because 85577955 - 2¹ = 85577953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85577898 and 85577907.

It is not an unprimeable number, because it can be changed into a prime (85577953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65695 + ... + 66984.

It is an arithmetic number, because the mean of its divisors is an integer number (8756880).

Almost surely, 2^85577955 is an apocalyptic number.

85577955 is a deficient number, since it is larger than the sum of its proper divisors (54532125).

85577955 is a wasteful number, since it uses less digits than its factorization.

85577955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132730.

The product of its digits is 2205000, while the sum is 51.

The square root of 85577955 is about 9250.8353676844. The cubic root of 85577955 is about 440.6772542022.

The spelling of 85577955 in words is "eighty-five million, five hundred seventy-seven thousand, nine hundred fifty-five".